Victor,
What can I say, when you're right, you are right.
Well, you know what they say about blind squirrels.
Muskeg stomper,
You could have your machine shop make a very safe (as far as deadly weapons go) 1" bore liner out of 1.5" dia 4130 steel bar. You'll want to have them include a reduced diameter powder chamber. 5/8" dia x 2" long should be plenty for as much of a charge as you'd want for a 1" cannon.
The above liner wouldn't likely fail under normal circumstances using BP, and any added strength the brass might provide is gravy.
One thing though - If the smallest diameter of your bbl is indeed 2", the liner I describe will leave you with only 1/4" of brass wall thickness at that point. If that 2" area is out of round (common on sand castings) and/or if the shop bores it off-center, you may not even have a 1/4" wall all the way 'round the circumference of the bbl.
Even if you
do have 1/4" of wall, the muzzle swell ahead of the thin area is a heavy piece of material. It's possible (although maybe not likely) that under recoil, the thin area may crack. Especially if the casting isn't sound in that area. However, if you use a strong epoxy (or better yet, solder the liner in full length), the above probably won't be an issue.